Output Feedback Control Synthesis for Linear Time-Delay Systems via Infinite-dimensional LMI Approach

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2003, Pages 4026-4031

  Azuma, Takehito ^a   Fujita, Masayuki ^a   Sagara, Seiichi ^a   Uchida, Kenko ^b  

^a KANAZAWA UNIVERSITY   (Japan)

^b WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL EQUIPMENT; LINEAR SYSTEMS; LYAPUNOV METHODS; POLYNOMIALS; SYSTEM STABILITY; THEOREM PROVING;

CLOSED LOOP SYSTEMS; LINEAR MATRIX INEQUALITIES (LMI); LINEAR TIME DELAY SYSTEMS;

FEEDBACK CONTROL;

EID: 1542289056     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. T. Azuma, R. Watanabe and K. Uchida, "An Approach to Solving Parameter-Dependent LMI Conditions based on Finite Number of LMI Conditions", Proc. of the 1997 American Control Conference, pp. 510-514, 1997.
2. T. Azuma, R. Watanabe, K. Uchida and M. Fujita, "A New LMI Approach to Analysis of Linear Systems Depending on Scheduling Parameter in Polynomial Forms", Automatisierungstechnik, vol. 48, no. 4, pp. 199-204, 2000. http://www-fujita.ee.t.kanazawa-u.ac.jp/~azuma/pub.html
3. T. Azuma, K. Ikeda, T. Kondo and K. Uchida, "Memory State Feedback Control Synthesis for Linear Systems with Time Delay via a Finite Number of Linear Matrix Inequalities", Computers and Electrical Engineering, vol. 28, no. 3, pp. 217-228, 2002.
4. T. Azuma, H. Naito, S. Sagara, M. Fujita and K. Uchida, "Memory Observer-based Output Feedback Control for Linear Time-Delay Systems", Proc. of 4th IFAC Workshop on Time-Delay Systems, 2003 (to appear)
5. S. Boyd, L. E. Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM studied in applied mathematics, vol. 15, 1994.
6. ∞ Controller Design for Linear Time-delay Systems", Automatica, vol. 33, no. 4, pp. 737-739, 1997.
7. ∞ Control of Uncertain Linear State-delayed Systems", Automatica, vol. 35, no. 7, pp. 1313-1321, 1999.
8. C. de Souza, "Stability and Stabilizability of Linear State-Delay Systems with Multiplicative Noise", Proc. of 3rd IFAC Workshop on Linear Time Delay Systems, pp. 21-26, 2000.
9. G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000.
10. ∞ Controller and Observer Design for Linear Systems with Point and Distributed Time-Delay", Proc. of 3rd IFAC Workshop on Time-Delay Systems, pp. 225-230, 2000.
11. K. Gu, "Constrained LMI Set in The Stability Problem of Linear Uncertain Time-Delay Systems", Proc. of the 1997 American Control Conference, pp. 3657-3661, 1997.
12. K. Gu, "Discretization of Lyapunov Functional for Uncertain Time-Delay Systems", Proc. of the 1997 American Control Conference, pp. 505-509, 1997.
13. J. Hale and S. M. Lunel, Introduction to Functional Differential Equations, Springer-Verlag, 1993.
14. ∞ Disturbance Attenuation for State Delayed Systems", Systems & Control Letters, vol. 33, issue 2, pp. 105-114, 1998.
15. K. Ikeda, T. Azuma and K. Uchida, "Infinite-Dimensional LMI Approach to Analysis and Synthesis for Linear Time-Delay Systems", KYBERNETIKA, vol. 37, no. 4, pp. 505-520, 2001.
16. J. Loiseau and D. Brethe, "An Effective Algorithm for Finite Spectrum Assignment of Single Input Systems with Delay", Proc. of Symposium "Modeling, Analysis and Simulation", IEEE-IMACS Conference Computation Engineering in Systems Applications, 1996.
17. J. Louisell, "A Stability Analysis for a Class of Differential-Delay Equations having Time-Varying delay", Lecture Notes in Mathematics No 1745, pp. 225-242, Springer-Verlag, 1991.
18. K. Uchida and M. Fujita, "On the Central Controller: Characterizations via Differential Games and LEQG Control Problems", Systems & Control Letters, vol. 13, issue 1, pp. 9-13, 1989.
19. ∞ Control Problems with Terminal Penalty", IEEE Trans. Automat. Contr., vol. 37, no. 11, pp. 1762-1767, 1992.